A characterization of closure operations that induce big Cohen-Macaulay modules

Dietz, Geoffrey

doi:10.1090/S0002-9939-2010-10417-3

A characterization of closure operations that induce big Cohen-Macaulay modules
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by Geoffrey D. Dietz

Proc. Amer. Math. Soc. 138 (2010), 3849-3862

DOI: https://doi.org/10.1090/S0002-9939-2010-10417-3

Published electronically: May 24, 2010

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Abstract:

The intent of this paper is to present a set of axioms that are sufficient for a closure operation to generate a balanced big Cohen-Macaulay module $B$ over a complete local domain $R$. Conversely, we show that if such a $B$ exists over $R$, then there exists a closure operation that satisfies the given axioms.

References

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